Atkin-Lehner |
2+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
9760a |
Isogeny class |
Conductor |
9760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
2440000 = 26 · 54 · 61 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 2 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-73,228] |
[a1,a2,a3,a4,a6] |
Generators |
[3:6:1] |
Generators of the group modulo torsion |
j |
672221376/38125 |
j-invariant |
L |
3.6511522555651 |
L(r)(E,1)/r! |
Ω |
2.5392142771101 |
Real period |
R |
1.4379063194779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9760f1 19520l2 87840bo1 48800i1 |
Quadratic twists by: -4 8 -3 5 |